Beautiful ! What a great exercise ! I won't even check to verify
that 1:10⁻¹⁹ is an appropriate scale to map the Milky Way onto a
football field. I'll just accept it and go from there.
(4.4 light years) x (10⁻¹⁹) = (2.5848 x 10¹³ miles) x (10⁻¹⁹)
= 2.5848 x 10⁻⁶ mile
= 0.164 inch .
(1,391,400 kilometers) x (10⁻¹⁹) = 1.3914 x 10⁻¹⁰ meter
Research Conclusions:
If the Milky Way shrinks to fit on a football field, then
-- Alpha Centauri is 0.164 inch from us.
-- The sun's diameter is about 1.39 times that of a Hydrogen atom.
Playing with this same fun concept a little more:
-- The Earth is sailing around in its orbit, once a year,
about 0.000015 millimeter from the sun.
-- It takes light almost 27 years to travel 1 inch !
wow !
Answer:
992
Step-by-step explanation:
1) 2x-1 or x=1/2
2) 5a-16 or a=16/5
Answer:
$1080
Step-by-step explanation:

convert % to decimal by multiplying 3.2%x100=0.032
then multiply by initial amount 3000x0.032
then multiply by 2 because it's compounding semiannual
then multiply by 3 because it's over a 3 yr period
do the same for the quarterly compound but multiply by 4 because it's quarterly

over a 3 yr period the quarterly compounded amount will earn:

$504 more than the account compounded semiannual
Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
=
+ 
=
+ 
36 + 12r +
= 81 + 
collecting like terms,
12r = 81 - 36
12r = 45
r = 
= 3.75
r = 3.75
The radius is 3.75.